English Explanatory Dictionary

circle of Apollonius

English dictionary entry

Meanings

noun
  1. The figure (a generalised circle) definable as the locus of points P such that, for given points A, B and C, =/(\frac).
  2. Any of eight circles (including degenerate cases) that, for a given set of three circles, solve the problem of Apollonius (i.e., intersect each circle tangentially).

Word forms

circle of Apollonius circles of Apollonius

Etymology

Named for the ancient Greek geometer and astronomer Apollonius of Perga (ca 262—ca 190 BCE).

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